Consider the flow through a rocket engine nozzle. Assume that the gas flow through the nozzle is
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Consider the flow through a rocket engine nozzle. Assume that the gas flow through the nozzle is an isentropic expansion of a calorically perfect gas. In the combustion chamber, the gas which results from the combustion of the rocket fuel and oxidizer is at a pressure and temperature of \(15 \mathrm{~atm}\) and \(2500 \mathrm{~K}\), respectively; the molecular weight and specific heat at constant pressure of the combustion gas are 12 and \(4157 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\), respectively. The gas expands to supersonic speed through the nozzle, with a temperature of \(1350 \mathrm{~K}\) at the nozzle exit. Calculate the pressure at the exit.
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